Finding the Third Proportional to 142,205.25 and 304,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,205.25 : 304,093.50 = 304,093.50 : x
2. Step 2: Convert to fraction form
   142,205.25/304,093.50 = 304,093.50/x
3. Step 3: Cross multiply
   142,205.25x = 304,093.50 × 304,093.50
4. Step 4: Simplify right side
   142,205.25x = 92,472,856,742.25
5. Step 5: Solve for x
   x = 92,472,856,742.25/142,205.25
6. Step 6: Final answer
   x = 650,277.38